Solve by completing the square.
x2 - 4x – 20 = 0

A. x = {-2±6√2}

B. x = {2+6√2}

C. x = {2+2√6}

D. x = {-2±2√6}

Show your work.​

Answers

Answer 1

Step-by-step explanation:

Subtract

20

from both sides of the equation.

x

2

4

x

=

20

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of

b

.

(

b

2

)

2

=

(

2

)

2

Add the term to each side of the equation.

x

2

4

x

+

(

2

)

2

=

20

+

(

2

)

2

Simplify the equation.

Tap for more steps...

x

2

4

x

+

4

=

16

Factor the perfect trinomial square into

(

x

2

)

2

.

(

x

2

)

2

=

16

Solve the equation for

x

.

Tap for more steps...

x

=

2

±

4

i


Related Questions

(please help)!!!!!!!!!!!!!!

Answers

Answer

use trigonometry to find both the answers.    

i have done the working out in the picture hope it helps...

Step-by-step explanation:

31 PIONTS GIVING BRAINIEST AWNSER Any tips on how to get a grade up ???

Answers

Answer:

 Forgot picture?

Step-by-step explanation:

Answer:

You can get your grade up by studying, getting a tutor, paying attention in class, taking good notes, asking questions, and cheating (i don't recommend this one :/)

When a<0 is the parabols wider or narrower?

Answers

Answer:

When A is less than 0 the parabola flips downward. When A becomes larger than 1, the parabola becomes more narrow. When A becomes smaller, until 0, the parabola widens.

Step-by-step explanation:

Can the following angle measures be the interior angles of a triangle: 29°, 29°, and 29° ? Justify your answer.

Answers

Answer:

No

Step-by-step explanation:

Angle measures of a triangle must add up to 180 and this only adds up to 87

Plz help I’ll give brainliest

Answers

Answer:

1. y = 2x + 5

2. (-5) + 3 + (-8) = 3 - 5 - 8 = 3 - 13 = -10

3. given: 1/2, 3/4, 7/8, 0.55, 0.1

1/2, 3/4, 7/8 = 4/8, 6/8, 7/8

4/8 < 6/8 < 7/8

1/2 < 3/4 < 7/8

0.55 = 55/100 = 11/20

0.1 = 1/10 = 2/20

2/20 < 11/20

0.1 < 0.55

1/2 = 10/20

2/20 < 10/20 < 11/20

0.1 < 1/2 < 0.55

3/4 = 15/20

11/20 < 15/20

0.55 < 3/4

thus

0.1 < 1/2 < 0.55 < 3/4 < 7/8

Solve: 4x^2 = 32 thanks

Answers

Answer:

D.

Step-by-step explanation:

It is difficult to describe, but you just need to follow through the steps acorddingly.

An experiment was performed to test whether caffeine in Coca-Cola would improve performance on an intelligence test. One randomly chosen group of subjects was given an 8 oz. cup of Coca-Cola containing caffeine to drink 10 minutes before taking the intelligence test. Another randomly chosen group was given an 8 oz. cup of decaffeinated Coke to drink 10 minutes before taking the test. Neither group had any food or drink for three hours before the experiment began. What are the levels or conditions of the independent variable

Answers

Answer:

8 oz of cocacola drink containing caffeine

8 oz of Decaffeinated Coke

Step-by-step explanation:

Th independent variables is that variable which causes a change in the output or the dependent or response variable. In the scenario described above, the type of drink Given to the participants is the independent variable

The Independent variable is the type of drink Given to the subjects with two levels ;

Levels :

cocacola drink containing caffeine

Decaffeinated Coke

Therefore, we can conclude that, there are two levels Of the jndependent variable, which are stated above.

Can someone pleaseeee helppp i dont know how to do this

Answers

Answer:

C=3e

Step-by-step explanation:

Slope=

given:quadrillateral ABCD inscribed in a circle
prove angel A and angel C are supplementary angel B and D are supplementary

Answers

Answer:

Step-by-step explanation:

Given: quadrilateral ABCD inscribed in a circle

To Prove:

1. ∠A and ∠C are supplementary.

2. ∠B and ∠D are supplementary.

Construction : Join AC and BD.

Proof: As, angle in same segment of circle are equal.Considering AB, BC, CD and DA as Segments, which are inside the circle,

∠1=∠2-----(1)

∠3=∠4-----(2)

∠5=∠6-------(3)

∠7=∠8------(4)

Also, sum of angles of quadrilateral is 360°.

⇒∠A+∠B+∠C+∠D=360°

→→∠1+∠2+∠3+∠4+∠5+∠6+∠7+∠8=360°→→→using 1,2,3,and 4

→→→2∠1+2∠4+2∠6+2∠8=360°

→→→→2( ∠1 +∠6) +2(∠4+∠8)=360°⇒Dividing both sides by 2,

→→→∠B + ∠D=180°as, ∠1 +∠6=∠B , ∠4+∠8=∠B------(A)

As, ∠A+∠B+∠C+∠D=360°

∠A+∠C+180°=360°

∠A+∠C=360°-180°------Using A

∠A+∠C=180°

Hence proved.

credit: someone else

Here is my question.

Answers

Answer: True False True true

Step-by-step explanation:

Answer:

true

false

true

true

Step-by-step explanation:

Q Search
7
The solid shape is made of a cone on top of a hemisphere.
The height of the cone is 10 cm.
The base of the cone has a diameter of 6 cm.
The hemisphere has a diameter of 6 cm. * LT
(1 Point)
The total volume of the shape is ku cm3. Work out the value of k.​

Answers

Answer:

.

Step-by-step explanation:

Convert: 24 yards = _____ feet
72 feet
48 feet
76 feet
8 feet

Answers

Answer:

24 yards = 72 feet

Step-by-step explanation:

3 feet per yard

24 x 3 = 72

the answer is 72 feet

Which is greats 1,200 mm or 12 m

Answers

Answer:

12m

Step-by-step explanation:

1m = 1000mm

12m to mm

12 × 1000

= 12000mm

1200mm to m

1200 ÷ 1000

= 1.2m



16. You decide to drop a penny off the top of the Willis Tower (fromerly the Sears Tower) in Chicago, IL. The
height of the penny (in feet) can be represented by the equation h= -16t2 + 1451 where t is time (in seconds).
a) How long will it take for the penny to hit the ground? Show any work that leads to your answer.

Answers

Answer:

9.5 seconds.

Step-by-step explanation:

We know that the equation that represents the height of the penny as a function of time is:

h(t) = -16*t^2 + 1451

Where the height is in ft, and the time is in seconds.

a) We want to know how long takes the penny to hit the ground.

Well, the penny will hit the ground when its height is equal to zero.

Then we need to solve for t:

h(t) = 0 = -16*t^2 + 1451

0 = -16*t^2 + 1451

16*t^2 = 1451

t^2 = 1451/16 = 90.7

t = √90.7 = 9.5

This means that it takes 9.5 seconds to hit the ground.

Answer:9.5 seconds

Step-by-step explanation:you subtract

Describe what you normally do on Sunday​

Answers

Nothing just lay in bed all day on my phone-

my normal routine except i go to church

Martina runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?

Answers

It may be 45 I think

Answer:

4.2 miles

Step-by-step explanation:

Martina runs 6 miles in 50 minutes, we have to find the rate at which she is running. Put it in a fraction [tex]\frac{6}{50}[/tex] or she runs 6 miles every 50 minutes. When we divide we get that she is running, 0.12 miles evrey minute. The question askes us how far Matina will run in 35 minutes, so we multiply 0.12 by 35, and we get that she will run 4.2 miles.


Who can describe and correct the error in finding volume of the cone

Answers

6 is the diameter not the radius

What is the volume 9inches 3inches 5inches

Answers

Answer:

135 can i have brain list

Step-by-step explanation:

9X3X5

Which expression represents the area of the shaded region?

Answers

Given:

A circle of radius r inscribed in a square.

To find:

The expression for the area of the shaded region.

Solution:

Area of a circle is:

[tex]A_1=\pi r^2[/tex]

Where, r is the radius of the circle.

Area of a square is:

[tex]Area=a^2[/tex]

Where, a is the side of the square.

A circle of radius r inscribed in a square. So, diameter of the circle is equal to the side of the square.

[tex]a=2a[/tex]

So, the area of the square is:

[tex]A_2=(2r)^2[/tex]

[tex]A_2=4r^2[/tex]

Now, the area of the shaded region is the difference between the area of the square and the area of the circle.

[tex]A=A_2-A_1[/tex]

[tex]A=4r^2-\pi r^2[/tex]

[tex]A=4r^2-\pi r^2[/tex]

[tex]A=r^2(4-\pi )[/tex]

Therefore, the correct option is (a).

Solve −2|m|= −10.

What is m?

Answers

Answer:

|m| : -5

Step-by-step explanation:

{ -2|m|= -10= |m| : -5 }

below there was a daily rental cost for ski equipment at benton mountin ski resort radall rents one set of skis two set of poles and two pairs of boots the sales tax for the rental was 7.69 and he paid with a 100 bill how much chang should randall recive frome the 100 dollar bill

Answers

Answer:

hi

Step-by-step explanation:

Answer fast plsssssss

Answers

Answer:

i cat see it

Step-by-step explanation:

100. 00 - 0.22 what is the answer show your work

Answers

Answer:

100.00-0.22 is 99.78

U have to use decimal method. don't use Normal method

how many meters are their in centimeter​

Answers

Answer:

You mean how many centimerters are in a meter?

In that case 100.

Step-by-step explanation:

ANSWER ASAP PLEASE!
Diana & Henry are choosing candy toppings for their ice cream. Diana
will randomly choose a candy topping and Henry will also randomly
choose a candy topping. The candy topping choices are Butterfinger,
Snickers, MilkyWays, Crunch Bar, Starburst, and Skittles. What is the
probability that Diana and Henry will both choose Butterfinger?
a. 1/30
b. 1/36
c. 1/12
d. 1/6

Answers

Answer:d

Step-by-step explanation: there are 6 candys and only one is butterfinger therefore it would be 1/6

Answer:

answer should be 1/36

option (b)

good day mate

explanation : the sample space is 36 and butterfinger comes only once to both of them.

What is the solution to this system

Answers

Answer:

Sorry, I was on my phone. Its (2,3)

Step-by-step explanation:

Answer:

(2,3) is the answer

Step-by-step explanation:

How many yards are equivalent to 38 feet? Show your work.

Answers

Answer:

12.6

Step-by-step explanation:

divide the length value by 3

[12.6)now can u help me with my history work

the sum of 2 numbers is -48 and their difference is 17.

Answers

Answer: -15.5, -32.5

Step-by-step explanation: Call the two numbers x and y, x+y=-48 and x-y=17, subtract both of them and you get 2y=31 and then divide both sides by 2 and get -15.5 for y, plug this back in the equations and get -32.5 for x, hope this helped!

please please I really need help this depends on my life​

Answers

Answer:

39.4 divided by (-7.2)= -5.472

6.7-39.31=-32.61

Step-by-step explanation:

Help me please thanks

Answers

Answer:

64 square cm

Step-by-step explanation:

(I pulled this out of the comments in case someone else needs this answer. Easier to see as an answer than as comments in the app)

Area 2 is easier, so we’ll start with that one. Area of a rectangle is length x width.

8 x 6 = 48 square cm

Area 1 is a triangle, so the formula is 1/2(base)(height). The height of the triangle is 8, because it’s the same as the base of the rectangle. The base of the triangle is 4, because we can subtract the 6 from the rectangle from the total side length of 10. Does that make sense?

So 1/2 (4)(8)= 1/2(32) = 16 square cm

Then we add 16 + 48 = 64 square cm

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